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Finding the Fourth Proportional to 306,070.70, 459,106.05 and 212,758.70

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Solution

The fourth proportional to 306,070.70, 459,106.05 and 212,758.70 is: 319,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,070.70 : 459,106.05 = 212,758.70 : x
  2. Step 2: Convert to fraction form
    306,070.70/459,106.05 = 212,758.70/x
  3. Step 3: Cross multiply
    306,070.70x = 459,106.05 × 212,758.70
  4. Step 4: Simplify right side
    306,070.70x = 97,678,806,360.14
  5. Step 5: Solve for x
    x = 97,678,806,360.14/306,070.70
  6. Step 6: Final answer
    x = 319,138.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.